Stability analysis of synthetic acceleration methods with anisotropic scattering

A study of the spectral radius for the continuous form of the source iteration, diffusion synthetic acceleration, and various P/sub L/ acceleration methods (L greater than or equal to 1) for anisotropically scattering neutron transport is carried out via a Fourier stability analysis. The purpose of the study is to determine which acceleration scheme is optimum. The problem is formulated as a matrix eigenvalue problem with, in general, N + 1 iteration eigenvalues ..omega.. where N denotes the degree of anisotropy. The P/sub 1/ acceleration method is determined as the most efficient P/sub L/ approach for the cases of linearly and quadratically anisotropic scattering.